Least Common Multiple of 803/71, 1551/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 803/71, 1551/560 quickly i.e. 113223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/71, 1551/560 is 113223.

LCM(803/71, 1551/560) = 113223

LCM of 803/71, 1551/560

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 803/71,1551/560

Given numbers are 803/71,1551/560

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 803,1551

Least Common Multiple of Numerators i.e. LCM of 803,1551 is 113223.

GCF of Denominators means GCF of 71,560 as per the given fractions.

GCF of 71,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,1551

LCM of Fractions 803/71,1551/560 is 113223

11 803, 1551
73, 141

∴ So the LCM of the given numbers is 11 x 73 x 141 = 113223

Least Common Multiple of 803,1551 with GCF Formula

Least Common Multiple of 803,1551 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 803,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,1551) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(803,1551) x common factors =11 x 1 = 11

LCM(803,1551) = ( 803 × 1551 ) / 11

LCM(803,1551) = 1245453 / 11

LCM(803,1551) = 113223


Lets's calculate GCF of 71,560

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113223/1

Therefore the LCM of Fractions 803/71,1551/560 is 113223

Greatest Common Factor of 71,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,560 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 71,560 . The biggest common factor number is the GCF number.
So the greatest common factor 71,560 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 803/71, 1551/560

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 803/71, 1551/560?

Answer: LCM of Numerators as per given numbers 803/71, 1551/560 is

LCM of Numerators i.e. for 803,1551 is 113223

GCF of denominators i.e. for 71,560 is 1.

Thus, LCM of Fractions is 113223.Finally, LCM of Fractions for 803/71, 1551/560 is 113223.